S.V. Petoukhov

Work place: Mechanical Engineering Research Institute of Russian Academy of Sciences Russia, 101990, Moscow, M. Kharitonievskiy pereulok, 4.

E-mail: spetoukhov@gmail.com

Website: http://petoukhov.com/

Research Interests: Computational Science and Engineering, , Data Structures and Algorithms, Mathematical Analysis, Numerical Analysis, Theory of Computation, Models of Computation


Sergey V. Petoukhov, Prof., Dr. Sci. Current employments: Head of Laboratory of biomechanical systems research in Mechanical Engineering Research Institute of the Russian Academy of Sciences; Chief researcher of the “Center of interdisciplinary researches of musical creativity” of the Moscow State Conservatory by P.I. Tchaikovsky; Editor-in-Chief of “International Journal of Mathematical Sciences and Computing” (Hong Kong). Selected honors and awards: Laureate of the State prize of the USSR; Academician of the Academy of Quality Problems (Russia, from 2000); Grand Doctor of Philosophy, Full Professor (The European Academy of Informatization, Belgium, 2004); the Chinese government has included S.V. Petoukhov in the «List of Outstanding Scientists in the World» in 2012; Chairman of Advisory Board of «International Symmetry Association», Budapest, Hungary, from 2003 till now; Honorary chairman of Board Directors of «International Society of Symmetry in Bioinformatics», USA, 2005; co-leader of long-term scientific cooperation between Russian and Hungarian Academies of Sciences in the theme «Non-linear models and symmetrological analysis in biomechanics, bioinformatics and theory of self-organizing systems»; Scientific supervisor and main contractor for competitive state contracts on bioinformatics in 2009-2011; Vice-Chair of the International Advisory Board Directors of the Research Association of Modern Education and Computer Science (Hong Kong) from 2016; VicePresident of the International Society of Natural Medicine (Slovakia); scholarship for scientific internship in Germany from the German Academic Exchange Service (DAAD, 2017).

Author Articles
Stochastic Rules in Nucleotide Sequences in Genomes of Higher and Lower Organisms

By S.V. Petoukhov V.I. Svirin

DOI: https://doi.org/10.5815/ijmsc.2021.02.01, Pub. Date: 8 Jun. 2021

The article presents new stochastic rules of nucleotide sequences in single-stranded DNA of eukaryotic and prokaryotic genomes. These discovered rules are candidates for the role of universal genomic rules. To reveal such rules, the authors represent any of genomic sequences in single-stranded DNA as a set of n parallel texts (or layers), each of which is written based on one of the different n-plets alphabets (n = 1, 2, 3, ...). Then comparison analysis of percentages of the 4n kinds of n-plets in the n parallel texts in such sequence is fulfield. In the result, unexpected stochastic rules of invariance of total sums of percentages for certain tetra-groupings of n-plets in different parallel texts of genomic DNA sequences are revealed.The presented rules significantly expand modern knowledge about stochastic regularities in long single-stranded DNA sequences, and they can be considered as generalizations of the second Chargaff's rule. A tensor family of matrix representations of interrelated DNA-alphabets of 4 nucleotides, 16 doublets, 64 triplets, and 256 tetraplets is used in the study. Some analogies of the discovered genetic phenomena with phenomena of Gestalt psychology are noted. The authors connect the received results about the genomic percentages rules with a supposition of P. Jordan, who is one of the creators of quantum mechanics and quantum biology, that life's missing laws are the rules of chance and probability of the quantum world.

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